Using the properties of equality, solve the equation 14(8−16g)+8=g
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To solve the equation, we can use the distributive property to simplify the left side of the equation:
14(8−16g) = 14(8) - 14(16g) = 112 - 224g
Now we can rewrite the equation using this simplified form:
112 - 224g + 8 = g
Combine like terms on the left side:
120 - 224g = g
Next, we can isolate the variables on opposite sides of the equation by adding 224g to both sides:
120 - 224g + 224g = g + 224g
This simplifies to:
120 = 225g
Finally, we can solve for g by dividing both sides of the equation by 225:
120/225 = g
Reducing the fraction gives:
8/15 = g
Therefore, the solution to the equation is g = 8/15.
To solve the equation 14(8 - 16g) + 8 = g using the properties of equality, follow these steps:
Step 1: Distribute the 14 to both terms inside the parentheses:
14 * 8 - 14 * 16g + 8 = g
Step 2: Simplify the equation by performing the multiplications:
112 - 224g + 8 = g
Step 3: Combine like terms by adding and subtracting on both sides of the equation:
112 + 8 = g + 224g
Step 4: Combine like terms on each side of the equation:
120 = 225g
Step 5: Divide both sides of the equation by 225 to isolate the variable g:
g = 120/225
Step 6: Simplify the fraction:
g = 8/15
Therefore, the solution to the equation 14(8 - 16g) + 8 = g is g = 8/15.